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             Orbits Worksheet
       The diagram shows the earth’s position in its orbit around the sun at the beginning of each season. The
       moon is shown at various positions as it revolves around the earth. Assume the line from A to C is the
                                                                               major axis.

                                                                               1.     The earth’s orbit around
                                                                              the sun is best described as
                                                                                   a. A perfect circle
                                                                                   b. An oblate spheroid
                                                                                   c. A very eccentric ellipse
                                                                                   d. A slightly eccentric
                                                                              ellipse

                                                                              2.    The phase of the moon at
                                                                              A would be
                                                                                 a. Full
                                                                                 b. New
                                                                                 c. Quarter
3. Determine the value of the semi major axis “a”.


4. If e= 0.0167, determine the value of the focus length “c”.


5. Determine the value of the semi major axis “b”.


6. Draw a better picture of earth’s orbit of the sun which includes “a’, “b” and “c”. Label the approximate
   season that would correspond to A, B, C, and D. Remember that the earth’s is closest to the sun on January
   7th and that would be winter in the northern hemisphere.




7. Calculate the Gravitation Force between the earth and sun at the following locations
   A.                                          B.



8. Calculate the speed of Earth’s orbit at the following locations
   A.                                             B.


9. Determine the value of the Kepler’s 3rd law constant for the earth in m3/s2.
        The diagram represents a model of the orbit of a moon around a planet. Points A, B, C, and D indicate
        the four positions of the moon in its orbit. Points F1 and F2 are focal points of the orbit.
                                                                                 1.     If the moon takes 6.8 days
                                                                        to move from point A to point B, the best
                                                                        estimate for the time required for one
                                                                        revolution is
                                                                        a. 20 days
                                                                        b. 27 days
                                                                        c. 34 days
                                                                        d. 41 days

                                                                                2.    When viewed from the
                                                                       planet, the moon would have the greatest
                                                                       apparent diameter(look biggest) at point
                                                                       a. A     b. B c. C d. D

                                                                               3.    From which position in the
                                                                       moon’s orbit does the full moon phase
                                                                       occur? a. A   b. B c. C d. D
        4.
5. If the distance from F1 to F2 is 42000 km and the major axis distance from A to C is 768000 km, what is the
   eccentricity of the moon’s orbit?

6. Determine the value of the semi minor axis length “b”.

         7. Label “a”, “b”, and “c” distances in the diagram above. Also label the distance from F2 to B with
             “a”, “b”, or “c”
8.    As the moon moves from point D to point B, the force of gravitational attraction between the moon and
      the planet
             a. Increases only b. decreases only c. increases then decreases d. decreases then increases




9.     Calculate the Gravitation Force between the earth and sun at the following locations
     B.                                          C.



10. Calculate the speed of Earth’s orbit at the following locations
   B.                                              C.




11. Determine the value of the Kepler’s 3rd law constant for the moon in m3/s2.

				
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